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Finding the Third Proportional to 33,223.50 and 70,200

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Solution

The third proportional to 33,223.50 and 70,200 is: 148,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,223.50 : 70,200 = 70,200 : x
  2. Step 2: Convert to fraction form
    33,223.50/70,200 = 70,200/x
  3. Step 3: Cross multiply
    33,223.50x = 70,200 × 70,200
  4. Step 4: Simplify right side
    33,223.50x = 4,928,040,000
  5. Step 5: Solve for x
    x = 4,928,040,000/33,223.50
  6. Step 6: Final answer
    x = 148,329.95

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.